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viktelen [127]
3 years ago
9

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer: 0.84134

Step-by-step explanation:

We need to find the z-score for the given information first since this will help us find the probability. The formula for this is

Z score = \frac{x - \mu}{\sigma}

We have

x = 66 inches (the raw score)

\mu = 70 inches (the population mean)

\sigma = 4 inches (the standard deviation)

This gives

Z score = \frac{x - \mu}{\sigma} = \frac{66-70}{4} = -1

If you use a calculator, or a Z-score table then P(x > Z) is just P(Z > -1) which gives a probability of 0.84134.

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yawa3891 [41]
Hello!

We can put the x values in and see if we get y

Option 1:
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y = 4(-1) - 2

y = -4 - 2

y = -6

Look at the next one to be sure

y = 4(1) - 2

y = 4 - 2

y = 2

So the set A equation is correct we can look at set be now

y = x + 4

y = -5 + 4

y = -1

Try the next one to be sure

y = -2 + 4

y = 2

So the set B equation is also correct

The answer is the first one

Hope this helps!
7 0
3 years ago
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jolli1 [7]

Answer:

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4 0
3 years ago
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​
forsale [732]

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

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5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

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1 = 5/4x - x

1 = 1/4  x

x = 4

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8 0
2 years ago
Suppose your family spent​ $2438.67 on home energy last year. Estimate the amount spent on heating and​ cooling, rounded to the
Minchanka [31]

Answer:

The answer is "1200".

Step-by-step explanation:

The percentage value for \frac{heating}{cooling}= (48 \% )

So,

\to  2438.67 \times \frac{48}{100} \\\\\\\to 117,056.16 \times \frac{1}{100}\\\\\to 1170.5616\\\\

rounding the value into the nearest hundred =1200

6 0
3 years ago
Pls answer this for me, this is the remainder theorem for grade 9 so help me.
professor190 [17]

Answer:

1.  3

2. 2

Step-by-step explanation:

| |  

x | + | 1 | | x^2 | + | 4 x | - | 2

x^3 | + | 5 x^2 | + | 2 x | + | 1

x^3 | + | x^2 | | | |  

| | 4 x^2 | + | 2 x | |  

| | 4 x^2 | + | 4 x | |  

| | | | -2 x | + | 1

| | | | -2 x | - | 2

| | | | | | 3

__________________________________________

| |  

x | - | 5 | | x^2 | - | x | + | 0

x^3 | - | 6 x^2 | + | 5 x | + | 2

x^3 | - | 5 x^2 | | | |  

| | -x^2 | + | 5 x | |  

| | -x^2 | + | 5 x | |  

| | | | | | 2

| | | | | | 0

| | | | | | 2

5 0
3 years ago
Read 2 more answers
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